Chapter 3: Displaying Categorical Data
... Assumptions/Conditions to check before using a Sampling Distribution Model for a Mean: 1. The sampled values must be independent 1. The data values must be sampled randomly or the concept of each other. of a sampling distribution makes no sense. 2. If sampling has not been made without replacement, ...
... Assumptions/Conditions to check before using a Sampling Distribution Model for a Mean: 1. The sampled values must be independent 1. The data values must be sampled randomly or the concept of each other. of a sampling distribution makes no sense. 2. If sampling has not been made without replacement, ...
printable version
... However,σ usually needs to be estimated by the sample standard deviation and this introduces an additional degree of uncertainty which should lead to wider confidence intervals. When the population distribution is approximately normal we can make an appropriate correction by replacing the normal di ...
... However,σ usually needs to be estimated by the sample standard deviation and this introduces an additional degree of uncertainty which should lead to wider confidence intervals. When the population distribution is approximately normal we can make an appropriate correction by replacing the normal di ...
10/12a
... Recall that, in statistical inference the goal is to draw a conclusion about a population (e.g., make an estimate or conduct a hypothesis test) based on a sample drawn from that population. If we repeatedly sample from a given population, the sample statistics (e.g., the mean and SD) will vary; we c ...
... Recall that, in statistical inference the goal is to draw a conclusion about a population (e.g., make an estimate or conduct a hypothesis test) based on a sample drawn from that population. If we repeatedly sample from a given population, the sample statistics (e.g., the mean and SD) will vary; we c ...
12 - Professor Mo Geraghty
... Math 10 – Confidence Intervals for mean Some Answers (gw12) 6. Repair Costs: Microwaves ...
... Math 10 – Confidence Intervals for mean Some Answers (gw12) 6. Repair Costs: Microwaves ...
Solution
... (b) Assuming the expectations exist, show that EYn+1 = 0. (c) Let ε > 0. Let B ∼ Bin(2n + 1, p), where p = P(X1 > ε). Show that P(Yn+1 > ε) = P(B ≥ n + 1). (d) Show that P(B ≥ n + 1) → 0 as n → ∞. (e) Deduce that M (X) → 0 in probability. Solution. (a) The symmetry assumption gives that −X = (−X1 , ...
... (b) Assuming the expectations exist, show that EYn+1 = 0. (c) Let ε > 0. Let B ∼ Bin(2n + 1, p), where p = P(X1 > ε). Show that P(Yn+1 > ε) = P(B ≥ n + 1). (d) Show that P(B ≥ n + 1) → 0 as n → ∞. (e) Deduce that M (X) → 0 in probability. Solution. (a) The symmetry assumption gives that −X = (−X1 , ...
Solutions 4
... (4) I would like to construct a confidence interval to locate the mean height for a population of mammals. I draw a random sample, and the 99% confidence interval for the mean height is [20, 52] (for this interval the margin or error = 16). I would like to construct an interval which has a margin o ...
... (4) I would like to construct a confidence interval to locate the mean height for a population of mammals. I draw a random sample, and the 99% confidence interval for the mean height is [20, 52] (for this interval the margin or error = 16). I would like to construct an interval which has a margin o ...
Notes - Section 7 – 1
... Example 4: The Ford Motor Company claims that the Ford Ranger pick-up truck gets highway mileage of 29 mpg. We take a SRS of 40 Ford Rangers and get a mean mpg of 28.4 with a standard deviation of 3.1 mpg. A) Give a 90% confidence interval for the true mean mpg for Ford Ranger. B) Explain what it m ...
... Example 4: The Ford Motor Company claims that the Ford Ranger pick-up truck gets highway mileage of 29 mpg. We take a SRS of 40 Ford Rangers and get a mean mpg of 28.4 with a standard deviation of 3.1 mpg. A) Give a 90% confidence interval for the true mean mpg for Ford Ranger. B) Explain what it m ...
Sampling Distributions
... As n increases, the sampling distribution of p becomes approximately normal. You need to check for the Normal condition ...
... As n increases, the sampling distribution of p becomes approximately normal. You need to check for the Normal condition ...
Statistical Significance Testing Brian K. Miller, Ph.D. Key Terms
... standard error, and v Standard error is greatly influenced by ____________ v Large sample sizes often produce statistically significant results, even for small effects v Example v Comparing sample mean of 105 to population mean of 100 v With standard deviation of 15 v For sample of n = 2 ...
... standard error, and v Standard error is greatly influenced by ____________ v Large sample sizes often produce statistically significant results, even for small effects v Example v Comparing sample mean of 105 to population mean of 100 v With standard deviation of 15 v For sample of n = 2 ...
